Analysis of functionally graded thick-walled cylinders with high order shear deformation theories under non-uniform pressure

This paper intends to investigate the static behavior and stress analysis of functionally graded (FG) thick cylinders under constant and non-uniform distributed internal pressures based on a general shear deformation theory. Third-order and sinusoidal shear deformation theories in particular are employed to indicate this achievement that these two theories can capture the behavior of shear deformable thick-walled cylinders. The nonlinear governing differential equations are discretized by generalized differential quadrature method, and then the discretized equations are solved by the Newton–Raphson iterative method. The results obtained in the present analysis are compared to those acquired by the first-order shear deformation theory. The results indicate that considering higher-order shear deformation effects leads to significant changes compared with the first order shear deformation theory. In addition, this study shows that the results obtained by Reddy and Touratier shear deformation theories are the same. This reveals that both of them are convenient to use for FG thick cylinders.